The number Γ(k) in Waring's problem
Christian Elsholtz (2008)
Acta Arithmetica
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Christian Elsholtz (2008)
Acta Arithmetica
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Nesterenko, Yu.V. (2005)
Journal of Mathematical Sciences (New York)
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M. Z. Garaev (2003)
Acta Arithmetica
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M. Dodson, A. Tietäväinen (1976)
Acta Arithmetica
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Trevor D. Wooley (2015)
Acta Arithmetica
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Estimates are provided for sth moments of cubic smooth Weyl sums, when 4 ≤ s ≤ 8, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.
Scott T. Parsell (2009)
Acta Arithmetica
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Vadim Komkov (1974)
Annales Polonici Mathematici
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Jörg Brüdern (2012)
Acta Arithmetica
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H. S. Gopalakrishna, V. S. Shetiya (1977)
Annales Polonici Mathematici
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Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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M. B. S. Laporta, T. D. Wooley (2001)
Journal de théorie des nombres de Bordeaux
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We prove in this article that almost all large integers have a representation as the sum of a cube, a biquadrate, ..., and a tenth power.
Chun-Yen Shen (2008)
Acta Arithmetica
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Siu-lun Alan Lee (2012)
Acta Arithmetica
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Yingchun Cai (2003)
Acta Arithmetica
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Ivan, Mircea (1998)
General Mathematics
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Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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